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Finding the Fourth Proportional to 3,588.48, 5,382.08 and 991.62

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Solution

The fourth proportional to 3,588.48, 5,382.08 and 991.62 is: 1,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.48 : 5,382.08 = 991.62 : x
  2. Step 2: Convert to fraction form
    3,588.48/5,382.08 = 991.62/x
  3. Step 3: Cross multiply
    3,588.48x = 5,382.08 × 991.62
  4. Step 4: Simplify right side
    3,588.48x = 5,336,978.17
  5. Step 5: Solve for x
    x = 5,336,978.17/3,588.48
  6. Step 6: Final answer
    x = 1,487.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.